If \(\int e^{x}[f(x)+f^{\prime}(x)]dx=e^{x}\sin x+c\) then \(f(x)\) is equal to1\(\cos x\)2\(\sin x\)3\(e^{x}\cos x\)4\(e^{x}\sin x\)Answer & explanation+Correct answer: option 2Since \(\int e^{x}[f(x)+f^{\prime}(x)]dx=e^{x}f(x)+c\) So, \(f(x)=\sin x\)
